Allow the cooking surface of your stove to cool completely before you clean it. Cleaning it while hot can damage the stove top and cause painful burns.
Place a quarter-sized drop of ceramic stove-cleaning product on the cooking surface. These products are made to help you remove stains easily without damaging the delicate cooking surface.
Use a clean, dry paper towel and rub the cleaner on the stove top in a circular motion. Continue until the surface is clean, adding additional cleanser if necessary. Buff the surface with a new paper towel until it shines.